1. Write as a base with a positive exponent, then evaluate. Write your final answer as a
fraction where required.

a) 4^-2

Answers

Answer 1

Answer:

Well a base with a positive exponent would be 5^3. All this means is 5x5x5 which is 125.

Step-by-step explanation:

Hope this helps!


Related Questions

LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?

Answers

Answer:

[tex]LN = 55[/tex]

Step-by-step explanation:

Given

[tex]LN = 12w + 7[/tex]

[tex]LP = 15w - 5[/tex]

Required

Determine LN

Since LM is a bisector, then we have:

[tex]LP = LN[/tex] (See attachment for illustration)

[tex]15w - 5 = 12w + 7[/tex]

Collect Like Terms

[tex]15w - 12w = 5 +7[/tex]

[tex]3w = 12[/tex]

Solve for w

[tex]w = 12/3[/tex]

[tex]w = 4[/tex]

LN is calculated as thus:

[tex]LN = 12w + 7[/tex]

Substitute 4 for w

[tex]LN = 12 * 4 + 7[/tex]

[tex]LN = 48 + 7[/tex]

[tex]LN = 55[/tex]

The number of fish in a lake triples every 5 years. is It linear or exponential

Answers

Answer:

This would be linear.

Step-by-step explanation:

Linear would be multiplying by a number.

Exponential would be multiplying to a power.

PLEASE HELP THERE ARE TWO PARTS!!

The graph shows the relationship between the United States dollar and
the euro, the currency of the European Union, in December 2011. Part A:
What is the constant of proportionality shown in the graph? *
Exchange Rate (December 6, 2011)
VA
(400, 300)
300
Number of euros
200
(250, 187.50)
100
(120,90)
100 200 300
400
Number of US dollars
I

Answers

Answer:

The constant of proportionality of the graph is 0.75

Step-by-step explanation:

The coordinates of the points on the lines are;

(400, 300), (250, 187.5), and (120, 90)

Which can be written in a tabular form as follows;

Number of US dollars   [tex]{}[/tex]                       Number of euros

120                                 [tex]{}[/tex]                        90

250                                [tex]{}[/tex]                        187.5

400                                [tex]{}[/tex]                        300

Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c

Where;

c = The y-intercept (where the graph meets the y-axis) = 0

m = The slope = The constant of proportionality

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]

We have, y = m·x = 0.75·x.

Therefore, the constant of proportionality of the graph = 0.75.

a=3 and c=2 10a - 3 - 5c - 2c

Answers

Answer:

13

Step-by-step explanation:

10(3)-3-5(2)-2(2)=13

Evaluate the expression.62−4÷2 62−4÷2

Answers

The answer to that is 10,000

Answer: 8118/131 decimal form -65

Step-by-step explanation: this part right here 2 62= 0.032

so 62-4/0.032-4/2= -65

sorry it took so long my pc is very laggy btw i was letting the dogs out my apologies


1. A day care center has 52 children. Each teacher has the same number
of children. How many children could each teacher at the center
have?

Answers

Answer:

It depends on how many teacher has

Step-by-step explanation:

52 children divided by number of teacher

brainliest for correct answer please help Point A is located at (-5,2). It is translated up 5 and left 3. Please state the location of A'.

Answers

Answer:

(-8,7)

Step-by-step explanation:

For every 8ft of cord he can make 3 chains how much does jairon need to
make 12 chains

Answers

Answer:

24 ft of cord

Step-by-step explanation:

8ft = 3 chains

16 ft = 6 chains

24 ft = 12 chains

OR

8 x 3 =24

The equation y=1/9x relates proportional quantities x and y.

What is the value of x when y is 4?

Answers

Answer:

x=36 when y=4

Step-by-step explanation:

When y=4, you have to multiply 1/9x by 9 to make x whole and to truly figure out how much it is worth. So if 1/9x =4, you need to multiply 4x9

4x9=36

x=36

Can someone answer this for me?

Answers

Answer:

D 26

Step-by-step explanation:

154+154=308

308-360=52

52 divided by 2

=26

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

I'm not sure if my way of doing it is the way your teacher wants it solved but I would do...

[tex]150+150+x=360[/tex]

so now we just have to solve the equation...

[tex]308+x=360\\x=52[/tex]

ok and now before you judge me that still isn't the answer we still have to divide the 52 by 2 because 52 is the sum of both the smaller angles, so you'll get...26°

choice D

Libby bought three shirts that cost $6.79, $11.08, and $8.95. How much did all three shirts cost

Answers

6.79+11.08+8.95=26.82

Answer:

$26.82

Step-by-step explanation:

It's just simple addition really. You start with adding 6.79 and 11.08 to get 17.87 and then add 8.95 to 17.87 to get 26.82. Hope this helps.

Answers

Answer:

the first rectangle im pretty sure is 32

the second one is 12.8

Step-by-step explanation:

half of 8 is 4 and half of 25.6 is 12.8

Which graph shows the solution to the inequality −2(2x+3)≤26?
pls help

Answers

Answer:

the answer is c

Step-by-step explanation:

Use the bar model to add these fractions

Answers

Answer:

I don't understand the question but 5 would be close to 0 10 would be beside 5 15 will be beside 10 20 will be close to 15 30 will be next to 60

Verizon charges $700 for an iPhone 12 and has a monthly service fee of $50. AT&T charges $650 for an iPhone 12 and has a monthly service fee of $60. After how many months will the two costs be the
same?

Answers

Answer:

5 months

Step-by-step explanation:

700 + 50x = 650 + 60x

50 = 10x

5 = x

what is (6x-5) + (8x-50)

Answers

Answer:

14x - 55

Step-by-step explanation:

6x - 5 = 8x - 50

6x + 8x = 14x -5-50

-5- 50 = -55

14x -55

[tex]6x + 8x - 5 - 50 \\ = > 14x - 55[/tex]

HELP NOW PLZZZZZ HELPPPPPPPPPPPP

Answers

Answer:

y = 4/3x -11

Step-by-step explanation:

y = -3/4 x - 8

This is in slope intercept form  

y = mx+b where the slope is -3/4

We want a slope that is perpendicular

Take the negative reciprocal

-1 ( -3/4) = 4/3

The slope of the line that is perpendicular is 4/3

Using the slope intercept form of a line is

y = mx+b

y = 4/3x+b

Substituting the point into this equation

-3 = 4/3(6) +b

-3 = 8+b

Subtract 8 from each side

-3-8 = b

-11 =b

y = 4/3x -11

Eric is a lifeguard at his community pool. Before working, he likes to swim laps to exercise. Eric started by swimming 12 laps and increases the number of laps he swims by 3 laps each week. - Identify the slope modeled by the linear relationship. Explain what the slope means in context of the problem. - Identify the y-intercept modeled by the linear relationship. Explain what the y-intercept means in context of the problem.

Answers

Answer:

Step-by-step explanation:

Eric started by swimming laps = 12

And increases number of laps each week = 3 laps

If Eric spends x week for the swimming, linear equation representing the number of laps 'y' after 'x' weeks will be,

y = 12 + 3x

Slope of the equation when graphed = 3

y - intercept of the equation = 12

Therefore, Slope of the equation represents the increase in laps per week.

And y-intercept represents the number of laps at the starting.

18. The price of a pair of shoes was $65. Then, the price was reduced to $52..
Find the percent decrease in the price of the shoes.
(a) 30%
(b) 13% (c) 5%
(d) 25%
(e) none of these
Please show the work

Answers

Answer:

13.

Step-by-step explanation:

65-52=13

13%
65- 52=13 is your answer

PLEASE HELPPP please

Answers

Answer: -30x⁵y⁷

Step-by-step explanation:

When multiplying exponents, you add them.

Distribute the -5x³ and y² to the terms inside of the parentheses to simplify:

-30x⁵y⁷

Hope this helps!

when multiplying variables that are the same but have different exponents, just add the exponents together (ex: x^2*x^5 = x^7)

now that we know that, just multiply everything by it’s like term - coefficient by coefficient, variable by variable

so: (-5*6)(x^3*x^2)(y^5*y^2) = (-30)(x^5)(y^7)

now just combine them: -30x^5y^7

Rewrite the expression in the form x^N X^3•x^4

Answers

X^7

what to always remember is when you multiply numbers of the same base add exponents

How do you write something in slope intercept form?

Answers

Answer:

Slope-intercept form is y=mx+b. You find the slope of the line and you plug that in for m. Then you find the y-intercept, which is where the line crosses the y-axis, and plug that in for b.

Step-by-step explanation:

Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of mike and Randy’s age

Answers

Answer:

40

Step-by-step explanation:

what are -2 times -7?
what is -2+-7?

Answers

-2(-7)= 14 a negative times a negative = a postitve

-2+(-7)= -9
14 and -9 ! just did these questions too:)

Who can guess what time it is for me

Answers

I’ll try it don’t know if I will get it right

Answer:

6:29

Step-by-step explanation:

The cooking club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating 3 pies to the club. Each pie was then cut into 6 pieces and sold. There were a total of 72 pieces to sell. How many pies did the cooking club bake?

Answers

Answer:

9 pies

Step-by-step explanation:

From the question, we were given,

Number of pies = 3

Number of pieces cut from each pie = 6

Given total number of pieces to sell = 72

But the Number of pieces from 3 pies = 3×6

=18

so, Number of pieces the club needed to make is given = 72-18= 54

Since each pie is cut into 6 pieces

And number of extra pieces needed = 54

Then the number of pies the cooking club bake is 54/6= 9 pies

Therefore, the club bake 9pies

i mark as brainliest ​

Answers

Answer:

-6.75

Step-by-step explanation:

Answer:

The answer is D. -7.25

Rewrite the equation by completing the square.
X^2+8x+12=0

Answers

Answer:

(x + 4)² - 4 = 0

Step-by-step explanation:

Given

x² + 8x + 12 = 0

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 8x

x² + 2(4)x + 16 - 16 + 12 = 0

(x + 4)² - 4 = 0

What are two different ways of saying "find the
solution"?

Answers

Answer:

find the difference.   find the sum

Step-by-step explanation:

A rain gauge is accurate within 0.5 mm of the true rain height. One Sunday
afternoon, it reads a height of 60mm. Formulate an absolute value equation, where
r is the true rain height, that can help you figure out the least rain height possible
and the greatest rain height possible.

Answers

Answer: 59.5 ≤ r ≤ 60.5

Step-by-step explanation:

Given that :

Accuracy range = ±0.5 of true value

True height of rain (r) = 60mm

Absolute value equation to find the least and greatest height if rain possible ;

|r| = 0.5

To remove the absolute value sign ;

|r| ± 0.5

r = 60mm

60 - 0.5 ≤ r ≤ 60 + 0.5

59.5mm ≤ r ≤ 60.5mm

Hence,

Greatest height possible = 60.5mm

Least height possible = 59.5 mm

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